{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ford_fulkerson(graph, source, sink, debug=None):\n",
    "    flow, path = 0, True\n",
    "    \n",
    "    while path:\n",
    "        # search for path with flow reserve\n",
    "        path, reserve = depth_first_search(graph, source, sink)\n",
    "        flow += reserve\n",
    "\n",
    "        # increase flow along the path\n",
    "        for v, u in zip(path, path[1:]):\n",
    "            if graph.has_edge(v, u):\n",
    "                graph[v][u]['flow'] += reserve\n",
    "            else:\n",
    "                graph[u][v]['flow'] -= reserve\n",
    "        \n",
    "        # show intermediate results\n",
    "        if callable(debug):\n",
    "            debug(graph, path, reserve, flow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def depth_first_search(graph, source, sink):\n",
    "    undirected = graph.to_undirected()\n",
    "    explored = {source}\n",
    "    stack = [(source, 0, dict(undirected[source]))]\n",
    "    \n",
    "    while stack:\n",
    "        v, _, neighbours = stack[-1]\n",
    "        if v == sink:\n",
    "            break\n",
    "        \n",
    "        # search the next neighbour\n",
    "        while neighbours:\n",
    "            u, e = neighbours.popitem()\n",
    "            if u not in explored:\n",
    "                break\n",
    "        else:\n",
    "            stack.pop()\n",
    "            continue\n",
    "        \n",
    "        # current flow and capacity\n",
    "        in_direction = graph.has_edge(v, u)\n",
    "        capacity = e['capacity']\n",
    "        flow = e['flow']\n",
    "        neighbours = dict(undirected[u])\n",
    "\n",
    "        # increase or redirect flow at the edge\n",
    "        if in_direction and flow < capacity:\n",
    "            stack.append((u, capacity - flow, neighbours))\n",
    "            explored.add(u)\n",
    "        elif not in_direction and flow:\n",
    "            stack.append((u, flow, neighbours))\n",
    "            explored.add(u)\n",
    "\n",
    "    # (source, sink) path and its flow reserve\n",
    "    reserve = min((f for _, f, _ in stack[1:]), default=0)\n",
    "    path = [v for v, _, _ in stack]\n",
    "    \n",
    "    return path, reserve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = nx.DiGraph()\n",
    "graph.add_nodes_from('ABCDEFGH')\n",
    "graph.add_edges_from([\n",
    "    ('A', 'B', {'capacity': 4, 'flow': 0}),\n",
    "    ('A', 'C', {'capacity': 5, 'flow': 0}),\n",
    "    ('A', 'D', {'capacity': 7, 'flow': 0}),\n",
    "    ('B', 'E', {'capacity': 7, 'flow': 0}),\n",
    "    ('C', 'E', {'capacity': 6, 'flow': 0}),\n",
    "    ('C', 'F', {'capacity': 4, 'flow': 0}),\n",
    "    ('C', 'G', {'capacity': 1, 'flow': 0}),\n",
    "    ('D', 'F', {'capacity': 8, 'flow': 0}),\n",
    "    ('D', 'G', {'capacity': 1, 'flow': 0}),\n",
    "    ('E', 'H', {'capacity': 7, 'flow': 0}),\n",
    "    ('F', 'H', {'capacity': 6, 'flow': 0}),\n",
    "    ('G', 'H', {'capacity': 4, 'flow': 0}),\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "layout = {\n",
    "    'A': [0, 1], 'B': [1, 2], 'C': [1, 1], 'D': [1, 0],\n",
    "    'E': [2, 2], 'F': [2, 1], 'G': [2, 0], 'H': [3, 1],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_graph():\n",
    "    plt.figure(figsize=(12, 4))\n",
    "    plt.axis('off')\n",
    "\n",
    "    nx.draw_networkx_nodes(graph, layout, node_color='steelblue', node_size=600)\n",
    "    nx.draw_networkx_edges(graph, layout, edge_color='gray')\n",
    "    nx.draw_networkx_labels(graph, layout, font_color='white')\n",
    "\n",
    "    for u, v, e in graph.edges(data=True):\n",
    "        label = '{}/{}'.format(e['flow'], e['capacity'])\n",
    "        color = 'green' if e['flow'] < e['capacity'] else 'red'\n",
    "        x = layout[u][0] * .6 + layout[v][0] * .4\n",
    "        y = layout[u][1] * .6 + layout[v][1] * .4\n",
    "        t = plt.text(x, y, label, size=16, color=color, \n",
    "                     horizontalalignment='center', verticalalignment='center')\n",
    "        \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe16f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def flow_debug(graph, path, reserve, flow):\n",
    "    print('flow increased by', reserve, \n",
    "          'at path', path,\n",
    "          '; current flow', flow)\n",
    "    draw_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 1 at path ['A', 'D', 'G', 'H'] ; current flow 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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2wUuuHQbcCfRVFy/JFUnjmSPwxhzzgAuAJ1RnO6/1xS+KPgWGmdllwLlbsdWAqUyNzWzjEMInybE7AF3xpRSrcgzwZhziqdkNW6RhlBiLVCPp4nURflv5ZqC3unhJrkgazxyDj/HZwBnAs0qIBV8L/FODlhDCF8AfR9kolrP8LOBNM3sU34g5BJgUh/izqk4UWbQj0BP4Q/bDFmkYJcYiVTCzPvgO7cF4F6+eIYTv0o1KJDOSxjMn4DPD7wHHhhBeSjcqaYJ+cYG0mMWL8c11PfEqPK+tzuqtWtHqzmrOMxRYji8/E2nSlBiLVGBm/fH1lbsC1wKnqYuX5Aoz6wCcApwLvAEcGkJ4Pd2opImah88aV9YJmJdMFBRtbBv/ewEL/ncqpx5lZuvjzYymlB0cWdQGX4I2Pg7xt40SuUgDKDEW4acuXpcAA4GrgaHq4iW5wszWoLzxzESgMITwVrpRSRM3DV9nXFkfYHrZXz7l00HAzPVYbwB+0fWEmf0PKA4hTAIOwJNpbbqTZkGJseQ1M9sFr9HaB+/i9bsQwuJ0oxLJDDPrhN/uHgY8DewZQpiWblTSTIwDRkcW9YhD/BFAZNEmwM74RuQyQ4BHk255V5vZDXgZy3+Z2dQOdFhjIQvnAuMbNXqRelIdY8k7lbp4bUR5F6+lqQYmkiFJ45k/4jN444DLQwgfpBuVNCeRRR2AKcBi/G5aDBQDq+MNPn6MLOqKd7nbNQ7xyxVfb2Zt5jBn2K3cOrovfT87mIOPAZ7Xxk5p6pQYS95IEuJ98YR4Lcq7eC1PNTCRDDGz9fD1w8cDD+GNZz5ONyppriKLNuLnLaGfwVtCz0qePw0oArrGIf5FrevIorOBMb/hN0UDGXgk8DVeG7tECbI0VUqMJeclXbwOwGc92uIfzA+pi5fkCjPrhjdhOBK4F7gyhFBl6SyRTIksehKYHYf4pJqOTZrHHIZX+1mMzz4/rgRZmholxpKzkg/ig/GEeAWeED+qLl6SK8ysO77e81DgduDqEMKX6UYlsmrJRMUQ/HO5Bf65/Ig+l6WpUGIsOSfp4nU43sXrB3xm4j+amZBcYWa98PG9P3ATcE0IQaWwpNlIlrbtB/wZX7d8GfCPEMKKVAOTvKfEWHJGpS5en+EJ8TNKiCVXmFk//Fb03sBYYGwIYV71rxJpupIEeW9870dXfDP0vSGEZakGJnlLibE0e0kXr+PxLl4f4PUzX0w3KpHMMbMB+K3nXfDNUDeo8YzkGjPbDU+Qe+LlM+8MISxJNyrJN0qMpdkys/aUd/F6CxgZQngt3ahEMsfMtscThW2Aq4Bb1HhGcp2Z7YjfGRlA+bhflG5Uki+UGEvWRBZ14+elfibgpX4+reLY1sA3wOlxiP9e6bmd8G5dEdCqiKJ2wBl4F6+X8YT4zWz+LCJVaegYjyzqBATgIGDd5PkJRRTdgc8Qb47PnN2umTPJN2a2Df57sBMwBrgxhLAg3agk1ykxlqyILGqPF4dfSnlx+JFAe7w4/MJKx/8aeAxYJw7x9xUebwW8CXQB1ruES6wlLc/AE5BLQwhTG+PnEamsoWM8SYonJq+7MiKa1Yc++xRQcNzBHLyE8sYzWmspea3C2vq9KF9b/331rxKpH7WElmw5CegB9I5DPBMgsuhtYAa+/GFMpeOHAC9UTIoT5xVQ0LI3vT98l3fXA7oDu4QQ3s9u+CI1augYvxxYrS1tt7yQC3fFZ4Y74eXX7tfufBGXTIAcbma98c3VM83sRuDaEMLcdKOTXKMZY8mKyKJngLZxiHeu9PgLAHGId6/wWIS3Fb00DvH1ZY/3t/7bT2XqxKM4avEUpsyYzORtgFZxiJUwSOoaMsaTdrvfbMImjx7LsZsDrfDZ5ofVeEakembWA7+APJjy+t1fpRuV5IqCtAOQnNUXqGqZwzSgT6XHdsDL9DwGYGYbmtl185k/sRvdZnane9/JTH48u+GK1Fm9xriZtdiTPc8D2vWi187Xcu2SIoo2K6Lo9iKKHoks6p7dsEWatxDCRyGEk/HNee2Ad83sr2a2QcqhSQ5QYizZ0hmoqr7qd/jt4oqGAJOKKGplZjcDbz/Hc5t+zMc/zmLW7iGE2dkOVqQe6jrG3yiiaC9genvaHwHwFE91+p7vZ+Mty8u+6J+PLFo9e2GL5IYQwqchhOH4ReoK4B0zu9HMNkk1MGnWlBhLNlW1Tieq/EALWhyyLdsWAJOAuS/y4vYv8MJA4KI4xF9nO0iRBqhxjJtZ67a0PWZXdu0BHAec/m/+XZQ8/THw+zjET8chvg84DNgIOCqLMYvklBDCnBDCOUBv/GL1DTO7w8w2Szk0aYa0+U6yZR4+o1ZZp+Q5zKzvbGaPKqW0R296Xw/sHUKYF1l0A/AV8GBk0ZrJ69om/9sxsmhJ5R3/IimodoybWTvghK/46uIlLFmvLW2PCSHcA1BkRYOTYyfEoXyjRxzi1yOL5uMzxyJSByGEb4CLzWw0MBx41cxKgMtCCNPTjU6aCyXGki3T8NtblfVpQ5tPzewRYJfXeO2tiOijv4e/D6t4DLAlUNVu42/xtchDMh6xSN1UOcYjon4d6Tgf+BCY9C/+9S9gn6fCU/dUei1UPeMMsDKjkYrkkRDCd4CZ2TV4zfvnzOxFvOb9lHSjk6ZOSykkW8YBO0QW9Sh7YH/b/8CIaLdd2GUzvDFHj2lM6xQT/7PSa88C9qj0567kub3xmrEiafvZGDezNU6wE0ZFRLtuwRY/AvuFEA74ki8HAo9WfGEc4s/wpUP7JBUrAIgs2hFYA/hfo/0UIjkqhDA/hHA5XlbxVeAJM3vMzH6VcmjShKlcm2RFUo5qCrC4H/3u25RND3uFV/rOZ/78PvTp/WZ4c25kUVe8hNWucYhfruF8RXiHMJVrkyahbIxHREv3ZM+312Ktwqd4qnQBC34spXSLOMQ/VjfGI4v2AkrwOyC3AWsDlwI/AtvEIV7cuD+RSG4rW94EXIDftRkZQpiYblTS1Cgxlqwws2gqU3//Bm9c9zmfr7WCFcti4pKY+A9xiGcBRBadBhQBXeMQV3vrWImxNDVmtvYXfBFe4IWTPuTDqJTSZTFxWUvoWVDzGE+64f0FXzq0EBgPnBeHWDVZRbLEzFoDQ/FmIZ8AxcBzIQQlRKLEWDLLzCLg18AIfGPSpcB9VXXxiix6Epgdh/ikxo1SpP7MrCtwLl5h4kHgihDCrKqO1RgXabrMrBVwON5u+lu8yc6TSpDzmxJjyQgzKwAOxNf/tkZdvCTHmFk3/BbsEcA9wFUhhM/SjUpEGsrMWgCH4t9fi/Hvr8dDCNoEm4eUGEuDJB8oh+AfKMvxW1KP6QNFckWF9rOHUN5+9st0oxKRTKswwTMCaIHf8XxEEzz5RYmx1IuZtcRnzi7G67kWA0/oFpTkCjPrjY/v3wA3AteGEL5NNyoRybZkSeB+eILcEbgMuL+qJYGSe5QYS51U2LRwITAbT4ifVUIsucLM+uFrDvcGrgPGhhC+TzcqEWlsSYK8F54gbwBcDtwTQliWamCSVUqMpVbMrC3lZW7eA4pDCC+lG5VI5pjZNviSoJ2Aa4AbQggL0o1KRJoCM9sN/3zoDYwC7gghLEk3KskGJcZSLTPrAJyC78J/A6/7+Hq6UYlkjpntgH/hDQCuAm4NIajluIj8gpltj39ebAOMBm4OISxKNyrJJCXGUiUzWwNvpXkWMBFPiN9KNyqRzDGz3fEvuF5oBkhE6sDMBuCfHzujO0w5RYmx/IyZdQLOBIYBTwOXhhCmpRuVSGYkawb3pnzN4GVozaCI1JOZ9cX3JAwCxgLXaU9C86bEWADv4gWcjS+bGAdcHkL4IN2oRDIjSYgL8RmeNfEyTNplLiIZYWa98E56BwA3Adeoik3zpMQ4zyVdvM4Bjgcewrt4fZxuVCKZkdQlHYInxC3xwv2qSyoiWWFm3fGqTYeiuufNkhLjPJV08TofOBK4F7hSXbwkVySNZw7Db3EuwcsKqpOViDQKM9sQ/449Cn3HNitKjPNMcjV7EeriJTnIzFrhF3sXA9/iCfGTqrMtImkws/X4+V3ZUbor27QpMc4Tyfqni4H90fonyTFm1obyxjOf4Anxc0qIRaQpMLMu+D6eU/F9PJeFEGakG5VURYlxjqvUxWss3sVrXrpRiWSGmbUDTsRvWU7DywpOTDcqEZGqJZWfhid/VPmpCVJinKOSGosj+HmNxfnpRiWSGWa2Gj7zcg7wX/zL5b/pRiUiUjtJr4DT8Vnkl/DPMPUKaAKUGOeYpCvPCLwrz1XALeriJbki+TIZBvwBeBH/MpmcblQiIvWTdJc9Ge8u+yZQrIv8dCkxzhFJH/cReB/3K1AXL8khZtYZT4bPAJ7E1+dNTzcqEZHMMLO2+Aa9C4D38GVhL6UbVX5SYpwlg4vHdwJ6Am2ApcCMkhGFGV3bmzQt2AtPiDcELgfuVhcvaQyNNMbXwW81ngw8itfZ1oYVybrGGN8ilZlZa+AYvHrUbHwj8bPZ2EisMV41JcYZNLh4fH/8S3xfoBOwqMLT7YF5+GzXNSUjCut9+zdJiPfDE2J18ZJG04hjvCtwHnAs8ABe4mhWfc8nUhuNNb5FamJmLYHD8c3z8/AE+YmGJsga4zVTYpwBg4vH98ILePfFr7xaVHN4KX5lNhU4umREYa3bLquLl6SlEcf4RniFiSOAu4HRKoov2dZY41ukrpJmRQfj3/vL8e/9x+rarEhjvPaUGDfQ4OLxw4FR+EArqMNLS4FlwAUlIwrHVndg8otxKH7luAy/chynLl7SGBppjPfAbx0eDNyGN575qn4Ri9ReY4xvkYZKJsYOwO8Ut8YT5IdrMzGmMV43SowbYHDx+FH4ZqAODTjNIuBvJSMKL6j8RNLF6wi8Mcdc1MVLGlkjjPHN8YS4ELgR+Ksaz0hjyfb4Fsm0ZCnlvniC3Bm4DLivbCllkjd0CSHMAY3x+lBiXE/JFdjlNGywlVkEXFh2RVapi9enZHHxvciqZHmMb4nfAdkLuA5vPPN9Bt5HpFayOb5Fsi1JkPfEE+RueDWqu4CAJ8J9XikYeDAa43WmxLgekrU6k4F2GTzt4nbx4u0GxNP+D19j+S7NvFxLZFE3vLnIICACJgBnxSH+tIpjWwPfAKfHIf57ZNHzwO5VnPbsOMTXZi9qgeyN8Y1Xzj5iA74aCuwIjAFuDCEsyOB7NKqGjPFKz+0ETEzO0SoOsTbSZlG2xjewdcmIwpypmtLQ8R1Z1AlP1A4C1k2enxCH+NhG+QHyhJntiq9B7gOsA7RYSLv3pkR9ehBFGuN11DLtAJqpe/C1OpkTx20KWPkmvhv0kOZe4DuyqD3wLL6AfygQ42uinoss2ioOceWmI3vhX1LjKzz2NnBKpeNmZSVgqSwbY7ztt1HnBzeIvzofODKEsKjG1zRhGRrjRBa1Am4GvgLWy3bcAmRjfPu6z3uB7TN83lQ0dHwnSfHE5HWX4J/d6+PdWCWDkgm0wWZ2E3Ai0GJmtEmfLLxVTo3xVVFiXEeDi8cPAPpRiwXsVx69Az3WXYPDr5nA8tIa9slFUcHCuP2yVwoG/jlHSqScBPQAeschngkQWfQ2MANPdsdUOn4I8EIc4oq30xfEIX6tMYKVcrUd43v0W5+Dtu9Oty6rsWjpCj76aj73T5zJtNmrKIMZRdHCuP3yVwoGPl8yorBZJ8WJTIxx8LJ0EXAHvp9Asqi24/uu4XvQqUMbVla4q3r89c/z3Y9LV/WSFkC/wcXj++szHPBb+KsBW8Yhnl/huH9kNeo8lWzOOwJY9iPt48W0bU8UVXnsXcP34Np/v81bH8/96bFBW23IvgO6cc5dr1b3Nrk2xqtUl92J4s6iFjMN63ZsR7+NOgMxO/Rap3ZnjqKWyflzwQHAa2UfqABxiD8GXgYOrHhgZFEE7I83cJD01TjGD9q+O6fu04d/vPwhvxszgaOve5bHJ33Cjr3Wrf7MUdQajfGKj2+Kr7U+HS/FJNlXq89wgPDA/xgyquSnP9UkxWU0vv3vHfAmFbdVSoolS5IqVYcDQ2dE3f+7koJsVa3KpTFeJc0Y192+VF//D4C9t9qA9z6fx3uff8+grTbkpXe/rM25WybnzwV9gceqeHzBT0NBAAAgAElEQVQaXnquoh2ArlUcPyCy6Ae86Pi7wF/jEN+e6UDlp3Jpa4cQXqeGMd6+TUuO+b9eXD1uCi+/Vz6uX5/xNa/P+Lqmt9IY/7kbgYfjEL8YWbRn5kMU+Gmj0m+AZykYWKvP8HrS+Hbb4ssqvoosehivOlOKr1E+O0mwJYPMbAvg8xDC5MHF4/9G9iY+c2mMV0kzxnWQtE/sVJtj995qQ5595wuefedztt10bdbs0Lq2b9M5eZ/mrjPeQaey7/jlv+EQYFIc4oqNHF7Er0oPAA7Bb9/dFll0SRZiFTgeeO0Su/R14rhzdQf22bATrVsW8PJ79S4zrDEORBYdBQzEl1JIdnUAxi2nxRfE8VpZfi+Nb19LDDAaT4gPwNu6DwCejyxaPfPh5r3zgDf/ZJc+V9NneAbkyhivkmaM66YnXrKkY3UH9e3WiXU6tuPF6V8wf/Fy5sxbxB79NuBfr9d8kRzFK0t7xJ9ebGafZCjmVEREBT3osY2ZDav4+KZsOvBDPowqPt6OdkM3ZuP/VXysiKKv8dudWyYPPfc3/rbZXOb++Rw7Z9EarLGsUX6Q/DEQYAlttmtBKaXVfDSs3q4VPyxa9rO1l3WhMQ7f8m37VrS6pC99/zOEIYeZGT3pud0MZvAn/nS6mal5T2a1BkqX0HaNmsZ3ReGwgZSu9HH+9idzsQffqPE1Gt+wAzsMfI3X6ECH+edwzksFFPQGeIM3Hnycx8/tT/9bzWxi4/5EOW8LIFpKm91bUBrVNMYrjm2Ali0KmDnnh9q+1yI8H2rWRQJWRYlx3dRqXdqgrTbkjY++Zf5iXzL43NTPGbRVLRNjKChgZQ8yW0ao0bWi1TJ81mDzio8XULBBa1ovK3t8FrPWXMzidbdjuwWVj62sP/3nTGDCVrOZvVNf+tZqbYrU2loAMVVv1qhoweLldGzfmoIoqldyrDEOJZTs3o52y/ZgjwXzmb8VQGtarwuwkIVbtab1iva0V8m2zGkFRLUZ3xXZg5N+tkGpNjS+oQtdOgFsxEbfFFDw0+u3ZVue4IllC1jQD1Ajn8xaEyBe1Y67SiqP7bLNd3WQ6aouTYbqGNfB4OLx2wFPUc2MceuWBfzj7L0pKIhYvMy/11q1aMHq7Vpx2i0v8tFXNZZs/QHYp2REYbO+EossehZoHYd4l0qPPw9EcYh3T/5+EXB8HOKetTjn7/AdzTuqWkVmmdlI4ML5dPhhWtS7XRwVrPJLvX2bltx31l6MHjeFibVbO19Z3o/xaup0l3ksDvGQjAedp8xsNWD+Ajosmxb1KlgZtWhV02uq2rlfSxrfFm0IzAaujkN8bqXX/wDcH4f41Cz/CHnFzO4Ejp7Pat9Oi3qtUd1neAOqUpTJiTG+KlpjXDcz8I1gq7RT7/VYGcecdOMLnH7LRE6/ZSIn3fgC73wyl7233LA279E+eZ/mbhywQ2RRj7IHIos2wWtYjqtw3BBqX43iCLzA+DuZCVEqGAecNCvqtnkcFVR7J2nR0hXc/fwHDNu3Hzv2Xpc2LQtoURAxcNO1OWGvaif9y2iM+/r5PSr9uSt5bm+87qtkziLgoiW02WFllK19dz/J+/GdrDWeBOyTVKwoe/2OwBrA/7IWdf66GzhqZrRJ35o+wzMgV8Z4lbSUog5KRhTOG1w8fh7eWaZKg7bagKcmf8Y385f87PFxkz7htMF9uO2Z92q6/fxdyYjCVRSCbVZuBYYBjyUb5mK8tfVsvJkBkUVdgV8Bf6z4wsiiXfF22P/Ei8J3xAvMHwBcWEVheWmgpKHMfwFqGuMA/3z9Y+YtXMoRu2zGhUP6s2jZCmbMmc8/Js6s7mVl8n6MxyH+RQ3QyKL/S/7zBXW+y6wQwkozG7s23202I+6+gCjK5uakvB/fiQuBEuDhyKLbgLWBS4H3gPuyHn2eCSE8Z2abbhNPXf8Vtp1PFGVzk2mujPEqKTGuuyeBI1lFuZ8/3V/1hfCL0+fw4vQ51Z85jlcQRU82ML4mIQ7xwqT81DV4l6kIeAZvJ/pjctgQvEVo5Xs3c/C7GX8BuuD1Xd8GjohDfH8jhJ/vqh3jZZ6b+gXPTf2ibmfWGJf0HA9c24XvVn4bd4Ko+humQ8c+V5/3WIH//jR7DR3fcYifiSzaH/8c/xewEO+Kd14c4sWN8CPklaQk4TSgtAvftapujFc1tp9++zOefvuzKo7+hZwZ46uiNcZ1NLh4fH+8wHm1SyrqoyBeSa/4w7s688MFIYR618JqLiKLngRmxyE+Ke1YpFw2x3gUr1y5Ufz5sA346qYQQs5/+GiMNx1m1hn4YiHt2rwTbU6WllQsAnbO5a5gFWl8Ny1mdgdwzELatdAYrz8lxvUwuHj863h5q0yu0S6N4pVTd4zfnIivpb0HuDKE8HkG30OkVrIyxuO4tCUrZm0XT1mKzx6NBB7PhwRZ0pPMpO2Pr9vuAXScEm1RsJD2EVHtdvDXUinwRsmIwu0zeE6RGpnZBsD5eLfB1YGCydEWyxfRviVRDbdG6iYvxrg239XP0UCNvUHraFkcFRwaQhgG9MNvV7xjZjea2SYZfi+RmmR+jEfRshVRq1/jtamvxG+xvmVmh5qZPosko8yswMwOBd4CDBiFd3OLN40/eQFYUt3r62EZcFSGzymySma2iZndiG9IXw70Af4fsLwzP/yWKMp4nkIejHHNGNfT4OLxw4EryMzt5kXAhSUjCsdWfNDM1sY3NZyMt9q8PISQsztBpWnJ9hiv0KZ3BLAavjHngRCCNp5JvZlZS+B3wJ+ABfiGsfFldybMbCfg7VcKBh5Hlj/DRbLBzHoCFwEH4hshrwkhfJM81wnYLITwv8bIU3KREuMGGFw8fhS+a7chg24RMLZkROGFqzogWRt3ZvJeJcClIYTpDXhPkVppjDGeJMiD8AR5PeBy4J4QwvIGvKfkGTNrhd/puAjfwFsMTKhuqU5jfYaLZIKZ9cEv+PYB/gaMDSF8V91rNMbrTolxAyVXZKPwlqN1Weleit+WuKC2V2Bm1hE4Ha+B+iKeIOfsAnhpGhprjCcJ8u74WtDN8JmOO0MImb4dKDnEzNoAx+HlwWYCxSGEF2r7+sb8DBepDzPrjyfEu+FVQm4IIcyv7es1xutGiXEGDC4e3wvfLNcPH3jVlcFbgQ+0qcBRJSMK67w0wsw6AKcC5+KF0otDCCqYLlmTwhjfEZ9B3gq4Crg1hLCorueR3GVm7YGTgPOAKcDIEEK9yuI19vgWqQ0z+xX+OTgQGA3cHEKoVx1/jfHaU2KcQUmZq7OAfYHO+O2HMu2B7/D6f9dmotSJmbUDTgAuwOsXjgwhTGzoeUVWJYUxvi0+g7wjMAa4MYRQY191yV1mtjpwGnA2Xj93ZAjhzUycu7HHt0hVzGwX/HOvDz7Te0cIISO1nzXGa6bEOEsGF4/vBPQE2uC7+2dkq1NMcitxKL62bha+tu45lcGSbGrkMb4VfitxD+A6fG3dD9l4L2makqVkw/H9Fs/iS8my1h6+Mce3SLKUbA98hnhjfK/FXSGEZdl6T43xqikxziHJ5pMjgIuBb/E6sU8qQZZcYWab4+N7P+BG4NoQwtx0o5JsMrO18Bmu0/DOaZeFEN5PNyqRzEgS4n3xhHgtvDrP/dp8nB4lxjnIzFoAh+EzbEvwBHlcCGFlqoGJZIiZbYpvtjoYuA24Oh+6ReYTM1sXOAdfLvYIcEUI4aN0oxLJjKR2+wH4kok2+Pf0wyGE0lQDEyXGuSz5xRuC/+K1xH/xHtEvnuQKM9sIX2N/OHA3cJW6RTZvSRev8/AuXvfhHUA/TTcqkcxIJq4Oxr+XV+BLHx/TxFXTocQ4DyS3avbDb9V0BC7Db9WokYLkBDNbH6/ScizwAD67+EmqQUmdmNnG+F2A3wF3AqNDCHPSjUokM5LGM4fjS8G+xxPiJ7TUselRYpxHkgR5bzxBXp/yRgpZW9wv0pjMbB3Ku0X+C+8WOTPdqKQ6ZrYZvnF4CHALMKasi5dIc2dmrfG7HxcBn+EJ8TNKiJsuJcZ5ysx2wxPkXpSXg1mSblQimZF0i/wDcAZeeujSEMK76UYlFZnZFvg+iMHA9cB1NXXxEmkuzKwtcDy+1Ot9vKzgi+lGJbWhxDjPmdkO+FqnAZQXEFcjBckJSYmvM/CqBi/gX05T0o0qv5nZ1vhnzm7AtcD1deniJdKUJY1nTsGXdr2Jf+a8nm5UUhdKjAUAM9sG/7LaifKWk2qkIDnBzFbDu0WeA/wX/7JSt8hGlHTxugT4FXA1cFN9u3iJNDVJ45nT8cYzL+OfMW+lG5XUhxJj+Rkz64ff3twbGIvf3vw+3ahEMiPpFnkicD7eLbI4hPByulHlNjPbGV+21RdftnV7prp4iaTNzNbEm84MB57Gl21NSzcqaQglxlIlM+uNbxbYH7gJuCaE8G26UYlkhrpFZlcVXbyuwLt4LU01MJEMMbMu+OzwqcA4fKPvB+lGJZmgxFiqZWY98BJKhwC3440Uvkw3KpHMSLpFHomXUPoGT5BLlCDXT5IQD8YT4i54acj71MVLcoWZrUd545mH8NKQH6cblWSSEmOplaSRwnl4EnEvXnT/s3SjEsmMCt0iLwEWUd4tUh+QtZAkxGVdvNrh/34PqZmQ5Aoz2xBfgnUU+g7MaUqMpU7MrCt+tXw88CAwSlfLkiuSbpG/xRO8AjzB+6cSvKolFxQH4f9epfi/16Pq4iW5wsy643dND0V3TfOCEmOpFzNbG19fdQq+vuqyEMKMdKMSyYxkBrQQXxKwBnAp8A91i3RJF6/f4xt1f8CXoPxHM+ySK8ysJ77E6gC0zyavKDGWBkkaKQwHhgFP4QmyduRKTlC3yJ9LungdjW9a/Bx18ZIcY2Z98Qu+QXhlprEhhHnpRiWNSYmxZISZrUF5I4WXgJFFFH2Ld/0ZCGyNrz3sHod4VlXniCx6D7gH+DtQ3fKMw+MQ/yNjwYvUgpntjifIPfEqC3cWUbQ2Xvd7EBABE4Cz4hB/Wvn1kUWt8Q1+p8ch/ntk0VB8NmogsBFwVxziYxvjZ6mrpIvXcfjv8wy8zJ26eEnOMLMB+JKgXSiv5a/GM3lIibFklJl1IOn6M53pHz/Mw5uvZOXrQAtgH1aRGEcWbQ68C/QDZuKd+CobiX9orR+HWK1jJRVmtiNwyTKWDRjDmFZLWfp1TPwnIMbHaHtgqzjEP2teEVn0a+AxYJ04xN9HFj0NrA1Mwtcv/qupJcZJF6+T8Y23b+FNC15LNyqRzDGz7fAL3m3w7q+3qPFMflNiLFlhZu1KKT2xBS3OB6bfzd2TP+Kj81l1YnwRcHwc4p5VnS+yqD3wJVASh/jQbMYuUhsb2AZXzWHOuWdwxrdd6DIauKGIoi74jOr5cYjHVDw+suhmoEcc4kHJ3wviEK9M/vszYEJTSYwrdfF6BU+I30w3KpHMMbNd8YS4N9545o4QwpJ0o5KmoGXaAUhuSjpbjTWzm4Ghvel92Ud8xEEctJOZfVLFmsQhwKPVnPIgYHXgriyFLFInX/DFNsArXehyKr4m8aMiiq77C395bSUrDwR+SowjiyK8Wc6lZY+VJcVNSdLFa3jy5xlg7xDC1HSjEsmMZM/AnnhC3A3fM3B3vu4ZkKopMZasSj5wbm1pLQuAmzZgg2JgmJmNBJ4IIcSRRV2BXwF/rOZUQ4GvgSezHrRI7fQFHgshvAP8PukWeXF/+g98h3dKzaxLhV3sOwBd8aUUTU7SxessvIvXv4FdQwjvpxuVSGYkCfGv8YS4E36Ber+qzEhVlBhLoyiltBTgNm4bdAEXbAdcCfzFzEZGROvHxN8Ar1b12siiDfCr/L/GIdYHmTQVnYGfdqsnieTQMTZmwQpWnA58YGa3AVfjd0QmxSFuUg0BzGxdvC75icDDwHYhhI/SjUokM5K65Afim+pa4XsAHlFdcqmOEmNpVItZvDKE8A8zexD/wPpzN7r1XMrS/57GadEqXnY03mxByyikqfnFJo35zP8BWAn0xztlvbsaqxER3drYwa2KmW2Ax3Y0XgVm6xDC7HSjEsmMpPHMIXhCvBQvKzhOjWekNpQYSyqSD6h/tbN2zyxl6dyDOGgDYJqZXQbcV+kW1zHA5DjEU1IJVqRq8/BZ48o6AfNCCJ8Cw7a0LR/4kR9fPI3TTjWzjsAVIYRZjRloGTPbBO/idRhwB9A3hDAnjVhEMi1pPHME3pjjO/zi70nV2Za6UGIsqVrCkkJgyQQmbL0lW5btEg5mdjlwdxFFWwNb4LvjRZqSafg648r6ANPL/jKVqbsAM9dl3Z3wdfRvmNljwOWN1S0y6eJ1EX6X5magdwjhm8Z4b5FsSxrPDMUv+j7FK6o8p4RY6kOJsaRtCPDk9+H7pXhzhAlmtht+C+zP3ej28WxmrwDuSzNIkSqMA0ZHFvWIQ/wRQGTRJsDO+Bd0mSHAo0kiepGZXQWcCbxqZiVUqFSRaWbWB6+YsQ/wN2AzdfGSXJE0njkBbzzzLjA0hDAx3aikuVMdY8mqyKJDkv/cC9/xfjre/atss91PncAqv/Z8O3/n67ju2W50i4/iqIuBm1V4XZqKyKIOwBRgMX4hF+NrGVfHG3z8mFRc+RzYNQ7xyxVfv5FttF13uv9hbdYufJzH20VEby9l6ajk6RfiENd7RtfM+icx7Yq6eEmOqdhICm+QMzKE8N90o5JcoRljybaHKv39huR/X8CLqrcDxlf1wqu4ah2gNd51a2fgAjPTl7w0CXGIF0YW7YknnvfgLaGfwVtC/5gcNoTyi8Cfmc3s/WYz+4gKDw2k/PdlD+D5usaUdPG6JDnXaHwGTReTkhPMbA3gDLy04EvAfiGEyelGJblGM8aSmsiim4BNyzqB1cTM+uGbKgbht4Wv021hacoii54EZschPqmmY82sHeW3hacDxbW9LWxmu+Dr87fALzhvVxcvyRVm1glffjQMeAq4LIQwLd2oJFcpMZZmx8x64RuJDgBuAq6p0EhBpFkzszaUbyT6BK+9+mzljURJ04I98IR4Y7yL113q4iW5wszWxjden4I3x2m0DauSv5QYS7NlZt3x5OFQvPTU6BDCl+lGJZIZZtaK8tJTc/H1y2WdH/fFE+K18M17lUscijRbZtYVbzxzPPAgKZY4lPyjxFiaPTPrhq9DPgq4F7hKzQokVyTNCg7F1w63TR5ejM8kP6wuXpIrks/y84Ej8XX7V4UQmlS3SMl92nwnzV6SBJ+ZNAc5F5hiZg/hswwfpxudSEasTP6UdYeMqaLrnkhzZGY98Lt/hwC3AX1090/SohljyTnJurSz8PJw4/B1aR+kG5VI3SRdvA7Hl1J8jy+leCJ5ej98KUVH4DLgfi2lkOYm2S9yMfAbfL/ItdovImlTYiw5K9nJPDz58zS+k3lqulFJLoks6oaXaxuEz+ZOwMu1fVrFsa2pULc7sqg9XoHicKAb8C3wXGc6F5/JmbvjG0xn40smnlnF5ru98QR5fXzz3T3afCeZElm0IT5GBwJb4+U1u8chnrWK498D7olDfGmlx3sAU5PX9yyiqC3eeGYvYCwwNoTwfbZ+DpG6UGIsOS+pfXk6vrt5Il4M/q10o5LmLklspwBLKW/wMRJojzf4WFjp+F/jO+vXiUP8fWTRfXid4wBMak3rTSOiUW1pu8apnPpiO9oVhRBeqk0sSbfIEUAvvFzbHSrXJg0VWfR/wAPAG0ALvINilYlxZNHmePe5fnGIp1V67kk8sV7vFE55qitdtwbGADeGEBZk9YcQqSMlxpI3km5JJ+PrkN/EE+TX041KmqvIoj/gX+694xDPTB7rDswAzo9DPKbS8TcDPeIQD4osagcsAK4somgkSRevt3l79j/55/bAvnGIS+oak5ntgCfpA/AGHzeHEBbV/6eUfBZZVBCHeGXy3ycCt7LqxPgi4Pg4xD0rPX5EAQVjd2KnLycysc/RHH3ppmx6mcalNFUFaQcg0lhCCAtDCNcAm+Jlrx4ys6fMbNeUQ5Pm6QDgtbKkGCAO8cfAy8CBFQ+MLIqA/YFHk4daAi360W8A8BGwC/Cbf/LPs5Ln6/XZHEJ4LYTwm+S9dgU+MrMLzGz1+pxP8ltZUlxLQygf3wCcYCfs15a2dxZSGC9m8SSAe7jn/ykplqZMM8aSt8ysNXAMvpbzM3xz0y/WcopUJbLoS+CxOMSnVHr8BuDQOMRrV3hsR+AVoFsRRT8CZz7MwxfPZObKHvQ4YzrTH8KbdNwErA5sF4e4wWuFk26Rf8LXIo/Fu0VqLafUWXUzxpFFXYHPgV2LKHqFZO37Izyy9Sd8MueP/HGrIoqOAO4Eela8mBRpajRjLHkrhLAshHAb0BsvEfQ34BUzK0w2NolUpzNQVUvy74BOlR4bUkDB5CKKTgM+BLrvx379l7DkzulMvwNfVjEVaAUMykRSDBBCmBpCOByfke4BfGhml5pZl0ycXyQxBPjmEi7pBLwKXPcyLz//Du+0nc/8g7QhVJoTJcaS90IIK0II9wB9gWuBK4BJZvZbM9PviFSnqrsLP7uoMrP1OtDhxN3YrTfQBRgYQjjuSq4cijelORfYHTga72T3RGRRh0wGGUJ4P4RwLPArYG3gAzO7yszWy+T7SP4xs4I1WOPkfvRr0ZKWlwJXP8ADA57m6YOBa+IQT087RpG60FIKkUqSZPgAfJd/a7zl7kPqMCYVRRZ9BTy6qqUURRQNAM7/mq+PuYEbOvaj317vhHeeTY7pi88QnxiH+PYKr+0JfICXfPtrtmKv1GHsXuBKdRiT6lReSlHWkXExi0dcxVVbDGTgyP3YryiEsDKy6Hy8CtC2QNl64iOA64FtgJlxiFWNQpokJcYiq5Asp/g1niB3whsp3KdGCgIQWfQs0DoO8S4VH29trV/rSMeNhjGsLXD7aEYv+5EfD6u4Wz+y6PfA/cDWcYjfrnTeecADcYhPzfbPYGZdgXOA44EHgVHqFilVKUuMO9Kx59mcvTPemOPbh3n4xalMHQZ0iUO8NDn2/wFDqzndlDjE/bMetEg96DaxyCqEEOIQwn+AnYAz8OThAzM7Kdm4J/ltHLBD0rwAM+t5mp32UCml23ej23SgVwjhvB/5cW8q7dYHytrdblfxwciiXsCa+EamrAshzAkhnIuvs/8OX0J0p5n1rOGlkmda0aolwDEc8yye9J4G7DKVqT2AJ8uS4sQVwB6V/oxKnjsKOLGx4hapK80Yi9RBUtrtEmAL/IP+djVSyE/JOuApLWm5cjCD53SgQ///8J/FC1m4JCbuF4f4x4q79eMQv1zhtS3wpgnd8aYgk4CN8LG1Nt4g5Bfd87It6RZ5JjAMeArvFjmt+ldJLmtn7Y7Ylm33XMjC301m8mobs/HoT/jkdbyL46tU6OZY3Xkii45FVSmkGVBiLFIPZrY9XgZrIOWNFBZW/yrJJWY24Gu+HjmBCXt9yIeUUroceAZfHzwLILLoNKAI6Fq5Jmxk0Vr47egDgA3xltCvAH+OQ/x+4/0kv1SpW+RLeDOcyWnGJI0raYh0ahFFo1dxyAv45MBP3RyrO58SY2kulBiLNICZ9cdn+XbFK1pcH0KYn25Ukk1mth2+7nwb/KLollVdFCWtcGfHIT6pEUPMmCQ5OgWvnDEJT5D/m25Ukk3JRdEZwFnAi/j/51OqOjay6CZg0zjEgxoxRJGsUmIskgFm1hef/dsHr4d8XQihqhq30kwly2hG4OtxRwF35MsyGjNrh6+xvwB4FygOIUxMNyrJpGQZzR/wpLgEX0ajUmuSd5QYi2SQmfUCLsRbAt8MXBNC+CbdqKS+ksoke+IJcTfgcuDufG1YkGw6HYp3i/wU7xb5rLpFNl9mtjbwR+BkfJPo5SEELXWQvKXEWCQLzGwTPEE+DLgDuDqEMCfNmKT2qijVdylwv0r1OTNrBRyOr7Ofi28gfEIJcvORlOo7FzgOeAAv1Tcr1aBEmgAlxiJZZGYbAufhXc3+jjdSmJ1uVLIqSXOXA/F1463whO8RNXepWtLk4RD832sp/u81LoSwstoXSmqS5i4X4A037gauCiE0SnlAkeZAibFII0ha754DnAA8DFwRQvgo3aikTKUEbxm+REAJXi1VuKAYAbTEZ9gf1gVF02FmPfAlMAcBtwFjQghfpRuVSNOjxFikEZlZF3y392nA4/h6vlRLc+UzM2uJz5xdjDe4KAae1JKA+qm0BGVNvFuklqCkyMx64+O7ELgRuDaEMDfdqESaLiXGIikwszWB4XgzhQnApSGEqelGlT8qbCK7EJiNNpFlVJIg74UnyBuS55sW02BmW+JrwPcErgP+FkKottawiCgxFkmVma1OeSOFV/AyWG+lG1XuMrO2+HKWsrJjI0MIL6UbVW4zs93wJSp5V+YuDWa2DX5BsiMwBrgxhLAg3ahEmg8lxiJNQNJI4SR8o95beIL8erpR5Q41qkhf0i3yEsobo9wcQliUblS5w8x2wBPirYGrgFv17ytSd0qMRZqQZEbzOPwW/wd4gvxiulE1X2pt3PSY2QA8Qd6Z8m6RmtGsJzPbHU+INwOuAO4MISxNNyqR5kuJsUgTlKyBPRrfNPM5vgZ2gtbA1k7SxetMYBjwFN7Fa1q6UUlFSbfIPwGDgLF4t0itga2FZA333nhCvD6+yfGeEMLyVAMTyQFKjEWasKRqwu/xBOIHPEH+jxLkqiVVP/6IL5t4DK/6MSPdqKQ6SbfIi4ADgJvwbpHfphtV05QkxIX4jPsaeFm8B1T1QyRzlBiLNANJnd2D8S/EFXgjhUdVZ9cldaLPBY4HHsTrRM9KNSipEzPrji8hOhTvFjk6hPBlulE1DUmd6N/iv/8R/vv/T/3+i2SeEmORZiT5gtwfv4XaBp8xeihfGykkXbzOB44E7sG7eH2WblTSEEm3yPOBo4B78W6Refn/aXJBfBh+x2gxfsfocd0xEskeJcYizVByS3Uwnti2fKgAAAq+SURBVCB3wdcY3pcvawyT2cWL8G51twNXa3Yxt1TqFvkQfhfg43Sjahxm1gq/2LsY+BpPiJ9SQiySfUqMRZqxJEHeA0+QN8Z3pd+Vq7vSk/WoF+Oz5mVdvLQeNYcl68bPBk4FxuHrxj9IN6rsMLM2wLH4kpKP8YT4eSXEIo1HibFIjjCzXfA1iH2AK4HbQwiL040qM8ysH347eW+8i9dYVTDIL0mlkeHJn6fxbpE5UWnEzNoBJ+JLSKbiZQVfTjcqkfykxFgkx5jZdngS+SvgauCmEMLCTL/P4OLxnYCe+FrnpcCMkhGF8zL5HpVq3l4D3KCat/mtUm3qiXgSmfFukY00vlfDZ8LPAV7Hf5ZJmXwPEakbJcYiOcrM+uMJ8m6UN1KY35BzDi4e3x9PSPYFOgEVO2u1B+YBTwLXlIworHcjjaRL2ghgAN7F6xZ18ZKKkm6GJ+PVSN7Em+E0qJthI47vjsAZwB+AF/CE+O36nk9EMkeJsUiOM7M++LrcwcD1wF9DCHWa+RpcPL4XXiGgLz6D1qKaw0vxGbapwNElIwprvR7UzHbDZ4h7U97Fa0ldYpX8knSLPB64AHgfT5Bfqss5GnF8d8aT4TOAJ/DGM+/WJVYRyS4lxiJ5wsx64pt6hgC3AGNCCN/U9LrBxeOHA6PwhKGgDm9ZCiz7/+3df2yV1R3H8fe5tKWUX4L8kGFAdDInqFvGJhoSYS6y2W2i021sjrnNGTUa3R8Li0lzuSPTELNoBjHGuFijM5plzmTrpHGDaBhuUxQVRUVRBBGtCkq5hf64z/44t6RC721pbyn0vl8JAXKf85wDfC/99NznnAMsbayrXVlkXAG4kDhDPBW4jXiKV+sR9KUylz8tcglxt5LtxIVra3pauDbQ9Z0f2yTiTPQ1wF+JO2y8cQR9STpKDMZSmclkMqcQZ9d+ANxHPEjhvfxrI4Gz0+n00wALlzesIM5ujexHl1lgVWNd7dJDxhGAi4kzxCcQ92R+2FO81B/50yIXEx8j2k0MyI93BuRMJjMXeCmdTu8byPrO9zUF+DVxp4mHgRXpdHpbP/qSNMAMxlKZymQyU4lftJcADxFnza4lhuZ561Nzvkqcve1PaOiUBX7TWFe7Mn9IySJiIK4gnuL1l3I9pEQDI384xuXEOmsl1tm/ibPJj68PX/kXIZS8vvN9TyO+jxYD9xMPntlZgn4kDTCDsVTmMpnMZOKq+KuB0UBFlurdG8OsakIYUbKOkqRlZrL1lgns/gXxGc3OU7yOz2NtQziZGH7mAOcAI4AZJMnbBa5/FXiAJPkdIXyHGJrmAJ8HniJJ5h+FUZed/Ddi3yU+qjMNGNtCddvzYVYlIVSWsKuWKcmub89IdiwGLgPuJT6u9H4J+5A0wAzGkgDIZDK3Elf4V74YvkgzNQkhhJJ1kOQYwYHmLycvXwE0HveHFoQwH3gE2EBcrHURhYJxCGcAm4HZJMnLhPBH4DzgWWA+sNVgPLDyC992AsNfDGfQzEgoYXmTJMlIsh3nJJtvIy5w/ah0N5d0tFQM9gAkHTN+DrQ3U9OapXpkoVB8/40LGDdyOB25hFyS8E5TM/98cQf/eO4diibdkKIlqU6tT83Z1VhXe3yH4ugpkmQyACFcTQzGhVwKvEGSdB5I8UuSJJdvu24gB6mDfgRUNFPTnGXEqJ5C8QWzpnDZuTM4ZeJo9rd1sGtPlideeJe/byjwiHAIYV9S07Y+NefRxrpaQ7F0nDIYS+p0PjB6czj9tzlStRTZsir9yDM8/9ZH1Ayv4Ozp47nuolmcMfUEfv+3HrZiDaEKuJm4GOn41hlse2cR8Fgf26o07gPW5ev7YorU9/fmzuCK805j1epNbHiziZbWDk47aQyXzz2Vxo3baeso8M8XH80YGvUtlakj2ZpG0hCWTqe3ptPpF9pC5VxCKLaP60HZA+385/UPuPXR5/jGOSczfeKonppUEA9PKB8hTCGeQvhYT5dqYOSfM74O+KQtVJ5brL5rhlew5IKZrHp8E+s276KlNa4JfXPXp6x4bGPhUByVX31LQ4zBWNJB+WNwxx1pu9d2fsKHn+7nrGnje3P5+Hw/5WIR0AQ8PdgDKWM1wO3tDHuFJJlQ7MIzTx5HZUWK9a/1ec1cudW3NKT4KIWkrk4nbj019kgbfrR3P6NHVPV4XUhyycxk692ZTGbIrNa/cN68M+etW8c911yTfi+T2dv1tWsnTbqkedSopgeXLLmTTOawtjeceOKpuRByd2UyfzhqAy4/lUCuherqYXTQUeRL35iaKj7JtpLrsjD9jqvOZ9rEUVQOS3HLQ/9j0zsfF+srS3wf9et4akmDw2AsqavhfW04YXQ1e1t6dVhdRyuV7wFb+9rXsWZES8tEgKrW1m3AwdQ0ds+e4RObmqa+MmvWvUC3J51VtLW1JKlUrtDrKokqIEnoeReKT7OtjK2pIhXCwXD8q/r1ADx409dJ9W4jiz6/jyQNLoOxpK4O9KXRzCljOXFMNZu27+7x2iSkWt8K0x+6u+76oTOjtmxZFvjhVfX19Z/Zri2ExUDLgrVrb1qwZk33f7fLln0faE+n084YD5BMJjMKuD2Q7MuRGgZUF7p2847dtLXnOP8Lk1n36q6+dtmn95GkwWcwltTVFuLzmL1SU1XBWdPHc+1FZ7LmpXd5+4O9PTeK99/S1wEeZxYBq0kSg9Lg2gdc+kGY8GwSUkU/qdh3oJ0Hn9rCDd+aDQGefaOJA20dzJg8hurKXn3JLKf6loYcD/iQ9BkLlze8D0wq9HrXfYyTJGHbh82seeldGjZsI9e7/07eb6yrPalU4x1UIVye/9WFxOO0rycutOtcbNcEXE+S/OmQdtOJO1VAPAEwB6Tzv3+GJCmwWa76q6f67rRg9ue49GszmD5pNPtb29m1J8vq57fzxAs7aC9e6EOnvqUy5IyxpEOtBn5MgX1ef7pybX/u3Z6//1Dx50N+f1f+5yeBFcRjohu6abeAuK9ud/f6GVBfovHpcEXru9PaTTtZu2nnkd57qNW3VHbcrk3Soe5g4J6RbAXuHKB7H31JEgr8mA9cAjxJkuzppl19kbb1R/lPUW6sb0kF+SiFpMMsXN7wX2AOpf3muQPY0FhXe24J7ykdMetbUiHOGEvqzk8o/axaK3Blie8p9YX1LalbBmNJh2msq30dWEo8rKAUssDSxrpaV+tr0FnfkgoxGEvqVmNd7UpgFf0PD1lgZf5+0jHB+pbUHZ8xllTUwuUNNxJ3WKiih5X8h+ggfry81NCgY5X1Lakrg7GkHi1c3jATeACYTQwQxbZ6bCcGhk3AlX68rGOd9S2pk8FYUq8tXN7wJeBm4JvAeD77MXQN8DFxH9c7G+tqNx79EUp9Z31LMhhL6pOFyxvGAacDw4kr/Lc01tXuHtxRSaVhfUvlyWAsSZIk4a4UkiRJEmAwliRJkgCDsSRJkgQYjCVJkiTAYCxJkiQBBmNJkiQJMBhLkiRJgMFYkiRJAgzGkiRJEmAwliRJkgCDsSRJkgQYjCVJkiTAYCxJkiQBBmNJkiQJMBhLkiRJgMFYkiRJAgzGkiRJEmAwliRJkgCDsSRJkgQYjCVJkiTAYCxJkiQBBmNJkiQJMBhLkiRJgMFYkiRJAgzGkiRJEmAwliRJkgCDsSRJkgQYjCVJkiQA/g/KHchrM8q4gQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe2b4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 6 at path ['A', 'D', 'F', 'H'] ; current flow 7\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ce8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 1 at path ['A', 'C', 'G', 'H'] ; current flow 8\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111d07358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 4 at path ['A', 'C', 'E', 'H'] ; current flow 12\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111cf7518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 3 at path ['A', 'B', 'E', 'H'] ; current flow 15\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111f2cc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 0 at path [] ; current flow 15\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111c8fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ford_fulkerson(graph, 'A', 'H', flow_debug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
